The figure below is a segment of a circle centre O radius r units.CM is the perpendicular bisector of AB.
![figure showing segment of a circle](https://www.easyelimu.com/images/form_3_past_papers/Term_1_2021/maths/figure_showing_segment_of_a_circle.JPG)
Given that CM=1cm and AB=2√3cm,
- calculate the radius of the circle centre O from which the segment was cut
- calculate the angle that chord AB subtends at the centre of the circle
- hence calculate
- the length of arc ACB
- the area of the segment AMBC